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Pavlova-9 [17]
3 years ago
5

Find −3a2 − b3 + 3c2 − 2b3 if a = 2, b = −1, and c = 3.

Mathematics
1 answer:
solong [7]3 years ago
3 0
A = 2, B = -1, C = 3

-3a^2 - b^3 + 3c^2 - 2b^3
-3(2^2) - (-1^3) + 3(3^2) - 2(-1^3)
-3(4) - (-1) + 3(9) - 2(-1)
-12 + 1 + 27 + 2
-12 + 30
 《18 <span>》</span>
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A quadrilateral can be inscribed in a circle, if and only if, the opposite angles in that quadrilateral are supplementary.
Setler [38]

The opposite angles are equal to are supplementary to each other or equal to each other.

<h3>What is a Quadrilateral Inscribed in a Circle?</h3>

In geometry, a quadrilateral inscribed in a circle, also known as a cyclic quadrilateral or chordal quadrilateral, is a quadrilateral with four vertices on the circumference of a circle. In a quadrilateral inscribed circle, the four sides of the quadrilateral are the chords of the circle.

The opposite angles in a cyclic quadrilateral are supplementary. i.e., the sum of the opposite angles is equal to 180˚.

If e, f, g, and h are the inscribed quadrilateral’s internal angles, then

e + f = 180˚ and g + h = 180˚

by theorem the central angle = 2 x inscribed angle.

∠COD = 2∠CBD

∠COD = 2b

∠COD = 2 ∠CAD

∠COD = 2a

now,

∠COD + reflex ∠COD = 360°

2e + 2f = 360°

2(e + f) =360°

e + f = 180°.

Learn more about this concept here:

brainly.com/question/16611641

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6 0
1 year ago
Question
mixer [17]

The intervals are given as follows:

  • In range notation: [-282, 20,320].
  • In set-builder notation: {x|x ∈ ℝ, -282 <= x <= 20,320}

<h3>What is the range of elements notation for interval?</h3>

The range of elements notation for interval is given by:

[a,b].

In which:

  • a is the smallest value.
  • b is the greatest value.

In this problem these values are given by:

a = -282, b = 20,320.

Hence the interval in range notation is given by:

[-282, 20,320].

<h3>How to write the interval in set-builder notation?</h3>

The same interval can be written as follows, using set-builder notation?

{x|x ∈ ℝ, a <= x <= b}

Hence, for the situation described in this problem, the set-builder notation for the values is:

{x|x ∈ ℝ, -282 <= x <= 20,320}

More can be learned about notation of intervals at brainly.com/question/27896097

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5 0
2 years ago
Increased by 130% is 69 ?
Setler [38]

Answer:

<h2>89.7</h2>

Step-by-step explanation:

Do you mean 130% of 69? If so then we multiply 69 by 1.3. The answer is 89.7. If you mean something else, please state your question more clearly and I'll be happy to answer it.

<h2>I'm always happy to help :)</h2>
3 0
3 years ago
What is the radius of a sphere with a volume of 1/6 pie
Yakvenalex [24]

Answer:

\large\boxed{the\ radius\ R=\dfrac{1}{2}}

Step-by-step explanation:

The formula of a volume of a sphere:

V=\dfrac{4}{3}\pi R^3

We have

V=\dfrac{1}{6}\pi

Substitute:

\dfrac{4}{3}\pi R^3=\dfrac{1}{6}\pi        <em>divide both sides by π</em>

\dfrac{4}{3}R^3=\dfrac{1}{6}          <em>multiply both sides by 3</em>

3\!\!\!\!\diagup^1\cdot\dfrac{4}{3\!\!\!\!\diagup_1}R^3=3\!\!\!\!\diagup^1\cdot\dfrac{1}{6\!\!\!\!\diagup_2}

4R^3=\dfrac{1}{2}          <em>divide both sides by 4</em>

R^3=\dfrac{1}{2}:4\\\\R^3=\dfrac{1}{2}\cdot\dfrac{1}{4}\\\\R^3=\dfrac{1}{8}\to R=\sqrt[3]{\dfrac{1}{8}}\\\\R=\dfrac{\sqrt1}{\sqrt8}\\\\R=\dfrac{1}{2}

3 0
3 years ago
What is the slope of the graph of<br> y = -3x + 2?
Ne4ueva [31]

Answer: -3

Step-by-step explanation:

5 0
3 years ago
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